Criterion of positivity for semilinear problems with applications in biology

Abstract : The goal of this article is to provide an useful criterion of positivity and well-posedness for a wide range of infinite dimensional semilinear abstract Cauchy problems. This criterion is based on some weak assumptions on the non-linear part of the semilinear problem and on the existence of a strongly continuous semigroup generated by the differential operator. To illustrate a large variety of applications, we exhibit the feasibility of this criterion through three examples in mathematical biology: epidemiology, predator-prey interactions and oncology.
Liste complète des métadonnées

Littérature citée [13 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01290966
Contributeur : Michel Duprez <>
Soumis le : mardi 9 août 2016 - 10:03:34
Dernière modification le : jeudi 31 août 2017 - 10:18:00

Fichier

template.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01290966, version 2

Citation

Michel Duprez, Antoine Perasso. Criterion of positivity for semilinear problems with applications in biology. 2016. 〈hal-01290966v2〉

Partager

Métriques

Consultations de
la notice

138

Téléchargements du document

63